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Simplifying 3(m + 5) + -6 = (m + 3) Reorder the terms: 3(5 + m) + -6 = (m + 3) (5 * 3 + m * 3) + -6 = (m + 3) (15 + 3m) + -6 = (m + 3) Reorder the terms: 15 + -6 + 3m = (m + 3) Combine like terms: 15 + -6 = 9 9 + 3m = (m + 3) Reorder the terms: 9 + 3m = (3 + m) Remove parenthesis around (3 + m) 9 + 3m = 3 + m Solving 9 + 3m = 3 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 9 + 3m + -1m = 3 + m + -1m Combine like terms: 3m + -1m = 2m 9 + 2m = 3 + m + -1m Combine like terms: m + -1m = 0 9 + 2m = 3 + 0 9 + 2m = 3 Add '-9' to each side of the equation. 9 + -9 + 2m = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 3 + -9 2m = 3 + -9 Combine like terms: 3 + -9 = -6 2m = -6 Divide each side by '2'. m = -3 Simplifying m = -3
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